Geodesic
Mellin Transforms of Whittaker Functions
Canadian mathematical bulletin, Tome 45 (2002) no. 3, pp. 364-377

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DOI

In this note we show that for an arbitrary reductive Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles and show that they always lie along translates of walls of Weyl chambers.
DOI : 10.4153/CMB-2002-039-5
Mots-clés : 11F30, 22E30, 11F70, 22E45 
Deitmar, Anton. Mellin Transforms of Whittaker Functions. Canadian mathematical bulletin, Tome 45 (2002) no. 3, pp. 364-377. doi: 10.4153/CMB-2002-039-5
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     author = {Deitmar, Anton},
     title = {Mellin {Transforms} of {Whittaker} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {364--377},
     year = {2002},
     volume = {45},
     number = {3},
     doi = {10.4153/CMB-2002-039-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-039-5/}
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